Hey, uh, will anyone be able to help me out here? I wanna know how to factorize any quadratic equation, and you yourself can give me an example (or examplES, since there are lots of different quadratic equations, and lots of different ways to solve em) of the equation. It’d be great for me if you could.

Step 1:

Find two numbers that multiply to give ac (in other words a times c), and add to give b.

Step 2:

Rewrite the middle with those numbers:

Step 3:

Factor the first two and last two terms separately

example

Solution

3x 2 – 9x + x – 3 = 0

⟹ 3x (x – 3) + 1(x – 3) = 0

⟹ (x – 3) (3x + 1) = 0

⟹ x = 3 or x = -13

the answer

b. they are parallel and will never intersect.

what are the